Multiplying and Simplifying Fractions

The video tutorial explains how to multiply fractions and simplify the result. It covers the process of multiplying numerators and denominators, and emphasizes the importance of simplifying fractions either before or after multiplication. Two examples are provided: multiplying 1/4 by 3/5 and 1/8 by 4/5. The tutorial also demonstrates how to model the multiplication of fractions and discusses the concept of common factors and prime factorization for simplification.

What is the first step in multiplying two fractions?

• Subtract the numerators from the denominators

• Add the numerators and denominators

• Divide the numerators by the denominators

• Multiply the numerators and denominators

In the example of multiplying 1/4 and 3/5, what is the product of the numerators?

• 1

• 3

• 5

• 4

What does the product 3/20 represent in the context of multiplying 1/4 and 3/5?

• 3/20 is 1/4 of 3/5

• 3/20 is 1/3 of 4/5

• 3/20 is 3/5 of 1/4

• 3/20 is 1/5 of 3/4

How many equal parts is the rectangle divided into when modeling 1/4 of 3/5?

• 10

• 15

• 20

• 25

In the second example, what common factor is shared by 8 and 4?

• 2

• 3

• 4

• 5

What is the simplified form of the product of 1/8 and 4/5?

• 2/20

• 1/10

• 2/10

• 1/20

Which method can be used to simplify fractions before multiplying?

• Adding common factors

• Dividing by the largest number

• Subtracting common factors

• Using prime factorization

What is the result of simplifying 4 to 1 and 8 to 2 in the second example?

• 1/5

• 1/10

• 2/10

• 2/5

What is the purpose of simplifying fractions?

• To make them equal to one

• To make them more complex

• To make them easier to understand

• To make them larger

What is the final product of 1/8 times 4/5 after simplification?

• 1/5

• 2/10

• 1/10

• 2/5